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Linear functions practice

Writing linear equations from graphs worksheets

Write slope-intercept equations for eight graphed lines. Read the y-intercept, calculate an exact slope and check the equation against visible points with a separate worked key.

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Read the y-intercept and find the slope from two points on each graph. Write the equation in slope-intercept form, then check a point on the line.

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Connect the calculation with the graph

Work with exact slopes and intercepts. Coordinate graphs use unit intervals from −5 to 5 on both axes, and the worked key connects the given information to the requested values, equation or completed graph.

Choose a focused mode when options are available. The settings change what the learner is given and what they must produce; the student preview and downloadable PDF use the same questions.

Learning objective

What this activity builds

Describe a graphed line using an exact slope-intercept equation.

Worked example

A graphed line passes through (0, −2) and (3, 4). Write its equation.

m = (4 − (−2))/(3 − 0) = 2, so y = 2x − 2.

The point on the y-axis gives b = −2. The change between the points gives m = 2. Substituting x = 3 returns y = 4, matching the graph.

Teaching notes

Make the practice count

  • Read the scale instead of relying on visual steepness.
  • Choose two exact grid intersections for the slope.
  • Keep the sign of the y-intercept in the final equation.
  • Check a third visible point when possible.

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Choose your options, update the preview, then download the exact same pages.

Every coordinate grid uses the fixed −5 to 5 unit window. Graph-only modes omit computed response fields; answer editions complete every requested line or solution region.

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Math SheetNameScore/ 8TeacherDateWriting Linear Equations from GraphsWrite each graphed line in slope-intercept form.1.-5-5-4-4-3-3-2-2-1-11122334455Equation:2.-5-5-4-4-3-3-2-2-1-11122334455Equation:3.-5-5-4-4-3-3-2-2-1-11122334455Equation:4.-5-5-4-4-3-3-2-2-1-11122334455Equation:5.-5-5-4-4-3-3-2-2-1-11122334455Equation:6.-5-5-4-4-3-3-2-2-1-11122334455Equation:7.-5-5-4-4-3-3-2-2-1-11122334455Equation:8.-5-5-4-4-3-3-2-2-1-11122334455Equation:math-sheet.comPage 1 / 1

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